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Finding the Fourth Proportional to 1,014.74, 1,400.40 and 572.78

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Solution

The fourth proportional to 1,014.74, 1,400.40 and 572.78 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.74 : 1,400.40 = 572.78 : x
  2. Step 2: Convert to fraction form
    1,014.74/1,400.40 = 572.78/x
  3. Step 3: Cross multiply
    1,014.74x = 1,400.40 × 572.78
  4. Step 4: Simplify right side
    1,014.74x = 802,121.11
  5. Step 5: Solve for x
    x = 802,121.11/1,014.74
  6. Step 6: Final answer
    x = 790.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.